Verify that the given two parameter family of functions is

Last updated: 3/13/2023

Verify that the given two parameter family of functions is the general solution of the nonhomogeneous differential equation on the indicated interval 2x y 5xy y x x y x x 1 2 2 1 x x 0 0 15 1 The inctions x 1 2 and x satisfy the differential equation and are linearly independent since W x 1 2 x set of solutions of the associated homogeneous equation and yp 0 for 0 x So the functions x 1 2 and x 1 form a fundam is a particular solution of the nonhomogeneous equation